document.write( "Question 69056: I am trying to help my son with an exponent question with an unknown exponent. Here is the sample question. (unfortunately it was not taken from a text book)
\n" ); document.write( "Please Help me solve this equation: 4n^x=4/n^2
\n" ); document.write( "I am trying to solve for x. \n" ); document.write( "

Algebra.Com's Answer #49148 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"4n%5Ex+=+4%2Fn%5E2\"$
\n" ); document.write( "First, each side can be divided by 4
\n" ); document.write( " $\"n%5Ex+=+1+%2F+n%5E2\"$
\n" ); document.write( "Now multiply each side by n^2
\n" ); document.write( " $\"n%5E2%2An%5Ex+=+1\"$
\n" ); document.write( "The left side is similar to something like $\"5%5E2%2A5%5E3+=+5%5E%282%2B3%29\"$
\n" ); document.write( " $\"n%5E2%2A+n%5Ex+=+n%5E%282%2Bx%29\"$
\n" ); document.write( " $\"n%5E%282%2Bx%29+=+1\"$
\n" ); document.write( "There is a rule that says \"Anything raised to the zero power = 1\"
\n" ); document.write( "So, stated backwards, \"If something raised to an exponent = 1, then that
\n" ); document.write( "exponent must be zero\"
\n" ); document.write( " $\"2+%2B+x+=+0\"$
\n" ); document.write( " $\"x+=+-2\"$
\n" ); document.write( "check:
\n" ); document.write( " $\"4n%5Ex+=+4%2Fn%5E2\"$
\n" ); document.write( " $\"4n%5E%28-2%29+=+4%2Fn%5E2\"$
\n" ); document.write( "multiply both sides by $\"n%5E2\"$
\n" ); document.write( " $\"4n%5E%28-2%29%2An%5E2+=+4\"$
\n" ); document.write( " $\"4n%5E%28-2%2B2%29+=+4\"$
\n" ); document.write( " $\"4n%5E0+=+4\"$
\n" ); document.write( " $\"4%2A1+=+4\"$
\n" ); document.write( "OK \n" ); document.write( "

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